Prepare Linear Distributions with Quantum Arithmetic Units.

IF 2.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Entropy Pub Date : 2024-10-28 DOI:10.3390/e26110912
Junxu Li
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Abstract

Quantum arithmetic logic units (QALUs) perform essential arithmetic operations within a quantum framework, serving as the building blocks for more complex computations and algorithms in quantum computing. In this paper, we present an approach to prepare linear probability distributions with quantum full adders. There are three main steps. Firstly, Hadamard gates are applied to the two input terms, preparing them at quantum states corresponding to uniform distribution. Next, the two input terms are summed up by applying quantum full adder, and the output sum is treated as a signed integer under two's complement representation. By the end, additional phase -1 is introduced to the negative components. Additionally, we can discard either the positive or negative components with the assistance of the Repeat-Until-Success process. Our work demonstrates a viable approach to prepare linear probability distributions with quantum adders. The resulting state can serve as an intermediate step for subsequent quantum operations.

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用量子算术单元准备线性分布。
量子算术逻辑单元(QALUs)在量子框架内执行基本算术运算,是量子计算中更复杂计算和算法的基石。在本文中,我们介绍了一种用量子全加法器准备线性概率分布的方法。主要有三个步骤。首先,将哈达玛门应用于两个输入项,使它们处于与均匀分布相对应的量子态。接着,通过量子全加法器将两个输入项相加,并将输出总和视为二进制表示下的有符号整数。最后,对负分量引入额外的相位-1。此外,我们还可以在 "重复直到成功 "过程的帮助下丢弃正负分量。我们的工作展示了一种利用量子加法器制备线性概率分布的可行方法。由此产生的状态可作为后续量子操作的中间步骤。
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来源期刊
Entropy
Entropy PHYSICS, MULTIDISCIPLINARY-
CiteScore
4.90
自引率
11.10%
发文量
1580
审稿时长
21.05 days
期刊介绍: Entropy (ISSN 1099-4300), an international and interdisciplinary journal of entropy and information studies, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish as much as possible their theoretical and experimental details. There is no restriction on the length of the papers. If there are computation and the experiment, the details must be provided so that the results can be reproduced.
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